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Finding the Third Proportional to 263,348 and 404,520

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Solution

The third proportional to 263,348 and 404,520 is: 621,369.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,348 : 404,520 = 404,520 : x
  2. Step 2: Convert to fraction form
    263,348/404,520 = 404,520/x
  3. Step 3: Cross multiply
    263,348x = 404,520 × 404,520
  4. Step 4: Simplify right side
    263,348x = 163,636,430,400
  5. Step 5: Solve for x
    x = 163,636,430,400/263,348
  6. Step 6: Final answer
    x = 621,369.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.